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Issue:Intuitionistic fuzzy probability and convergence of intuitionistic fuzzy observables

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Title of paper: Intuitionistic fuzzy probability and convergence of intuitionistic fuzzy observables
Author(s):
Katarína Čunderlíková
Mathematical Institute, Slovak Academy of Sciences, Stefanikova 49, 814 73 Bratislava, Slovakia
cunderlikova.lendelova@gmail.com
Presented at: International Workshop on Intuitionistic Fuzzy Sets, founded by Prof. Beloslav Riečan, 2 December 2022, Banská Bystrica, Slovakia
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 28 (2022), Number 4, pages 381–396
DOI: https://doi.org/10.7546/nifs.2022.28.4.381-396
Download:  PDF (234  Kb, File info)
Abstract: The aim of this contribution is to define a convergence in distribution, a convergence in measure and an almost everywhere convergence with respect to an intuitionistic fuzzy probability. We prove a version of Central limit theorem, a version of Weak law of large numbers and a version of Strong law of large numbers for intuitionistic fuzzy observables with respect to the intuitionistic fuzzy probability. We study a connection between convergence of intuitionistic fuzzy observables with respect to the intuitionistic fuzzy probability and a convergence of random variables, too.
Keywords: Intuitionistic fuzzy event, Intuitionistic fuzzy probability, Intuitionistic fuzzy observable, Convergence in distribution, Convergence in measure, Almost everywhere convergence, Central limit theorem, Weak law of large numbers, Strong law of large numbers.
AMS Classification: 03B52, 60A86, 60B10, 60F05, 60F15.
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